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106973380696 = 237132233183191
BaseRepresentation
bin110001110100000011…
…1000100000001011000
3101020010011021210012211
41203220013010001120
53223040141140241
6121050510444504
710504620506320
oct1435007040130
9336104253184
10106973380696
1141404759246
1218895203734
13a11a455400
14526b24c280
152bb1546781
hex18e81c4058

106973380696 has 384 divisors, whose sum is σ = 272003235840. Its totient is φ = 38498803200.

The previous prime is 106973380691. The next prime is 106973380699. The reversal of 106973380696 is 696083379601.

It is a super-2 number, since 2×1069733806962 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106973380696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106973380691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 560069961 + ... + 560070151.

It is an arithmetic number, because the mean of its divisors is an integer number (708341760).

Almost surely, 2106973380696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106973380696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136001617920).

106973380696 is an abundant number, since it is smaller than the sum of its proper divisors (165029855144).

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

106973380696 is a wasteful number, since it uses less digits than its factorization.

106973380696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 58.

The spelling of 106973380696 in words is "one hundred six billion, nine hundred seventy-three million, three hundred eighty thousand, six hundred ninety-six".