106958038957616 has 480 divisors, whose sum is σ = 280023967944000. Its totient is φ = 38999330979840.

The previous prime is 106958038957613. The next prime is 106958038957619. The reversal of 106958038957616 is 616759830859601.

It is an interprime number because it is at equal distance from previous prime (106958038957613) and next prime (106958038957619).

It is a super-2 number, since 2×106958038957616² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106958038957613) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35218318850 + ... + 35218321886.

It is an arithmetic number, because the mean of its divisors is an integer number (583383266550).

Almost surely, 2^{106958038957616} is an apocalyptic number.

106958038957616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106958038957616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140011983972000).

106958038957616 is an abundant number, since it is smaller than the sum of its proper divisors (173065928986384).

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

106958038957616 is a wasteful number, since it uses less digits than its factorization.

106958038957616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 74.

The spelling of 106958038957616 in words is "one hundred six trillion, nine hundred fifty-eight billion, thirty-eight million, nine hundred fifty-seven thousand, six hundred sixteen".