106051661016 has 32 divisors (see below), whose sum is σ = 303004746240. Its totient is φ = 30300474528.

The previous prime is 106051661003. The next prime is 106051661029. The reversal of 106051661016 is 610166150601.

106051661016 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 (106051661003) and next prime (106051661029).

It is a super-2 number, since 2×106051661016² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315629776 + ... + 315630111.

It is an arithmetic number, because the mean of its divisors is an integer number (9468898320).

Almost surely, 2^106051661016 is an apocalyptic number.

It is an amenable number.

106051661016 is an abundant number, since it is smaller than the sum of its proper divisors (196953085224).

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

106051661016 is a wasteful number, since it uses less digits than its factorization.

106051661016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631259903 (or 631259899 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 106051661016 in words is "one hundred six billion, fifty-one million, six hundred sixty-one thousand, sixteen".