101678961000 has 128 divisors (see below), whose sum is σ = 324616406400. Its totient is φ = 26483788800.

The previous prime is 101678960987. The next prime is 101678961029. The reversal of 101678961000 is 169876101.

It is a super-2 number, since 2×101678961000² (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 101678961000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265105 + ... + 523104.

It is an arithmetic number, because the mean of its divisors is an integer number (2536065675).

Almost surely, 2^101678961000 is an apocalyptic number.

101678961000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101678961000 is an abundant number, since it is smaller than the sum of its proper divisors (222937445400).

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

101678961000 is a wasteful number, since it uses less digits than its factorization.

101678961000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788276 (or 788262 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 101678961000 in words is "one hundred one billion, six hundred seventy-eight million, nine hundred sixty-one thousand".