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106011659796 = 22371774237857
BaseRepresentation
bin110001010111011001…
…0011000111000010100
3101010122010122022011020
41202232302120320110
53214102441103141
6120411233441140
710442032145310
oct1425662307024
9333563568136
10106011659796
1140a60900089
12186671101b0
139cc612b6a3
1451b9626b40
152b56dc7266
hex18aec98e14

106011659796 has 48 divisors (see below), whose sum is σ = 299327043456. Its totient is φ = 28507336704.

The previous prime is 106011659771. The next prime is 106011659827. The reversal of 106011659796 is 697956110601.

It is a super-2 number, since 2×1060116597962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37117501 + ... + 37120356.

It is an arithmetic number, because the mean of its divisors is an integer number (6235980072).

Almost surely, 2106011659796 is an apocalyptic number.

It is an amenable number.

106011659796 is an abundant number, since it is smaller than the sum of its proper divisors (193315383660).

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

106011659796 is a wasteful number, since it uses less digits than its factorization.

106011659796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74237888 (or 74237886 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 51.

The spelling of 106011659796 in words is "one hundred six billion, eleven million, six hundred fifty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 74237857 148475714 222713571 296951428 445427142 519664999 890854284 1039329998 1262043569 1558994997 2078659996 2524087138 3117989994 3786130707 5048174276 6235979988 7572261414 8834304983 15144522828 17668609966 26502914949 35337219932 53005829898 106011659796