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106078764096 = 2632315940791
BaseRepresentation
bin110001011001011001…
…0010111110001000000
3101010210210220112221200
41202302302113301000
53214222130422341
6120422032021200
710443505421544
oct1426262276100
9333723815850
10106078764096
1140a95773588
1218685691800
13a006cc5186
1451c44d3a24
152b5cc2edb6
hex18b2c97c40

106078764096 has 84 divisors (see below), whose sum is σ = 313863922944. Its totient is φ = 34218950400.

The previous prime is 106078764091. The next prime is 106078764101. The reversal of 106078764096 is 690467870601.

It is a happy number.

106078764096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106078764091) and next prime (106078764101).

It is a super-2 number, since 2×1060787640962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106078764091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2952540 + ... + 2988251.

Almost surely, 2106078764096 is an apocalyptic number.

106078764096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106078764096 is an abundant number, since it is smaller than the sum of its proper divisors (207785158848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106078764096 is a wasteful number, since it uses less digits than its factorization.

106078764096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5940840 (or 5940827 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 106078764096 in words is "one hundred six billion, seventy-eight million, seven hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 5940791 11881582 17822373 23763164 35644746 47526328 53467119 71289492 95052656 106934238 142578984 184164521 190105312 213868476 285157968 368329042 380210624 427736952 552493563 570315936 736658084 855473904 1104987126 1140631872 1473316168 1657480689 1710947808 2209974252 2946632336 3314961378 3421895616 4419948504 5893264672 6629922756 8839897008 11786529344 13259845512 17679794016 26519691024 35359588032 53039382048 106078764096