102606893283400 has 96 divisors (see below), whose sum is σ = 260274957720480. Its totient is φ = 37307788992000.

The previous prime is 102606893283379. The next prime is 102606893283431. The reversal of 102606893283400 is 4382398606201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19221955 + ... + 23972845.

It is an arithmetic number, because the mean of its divisors is an integer number (2711197476255).

Almost surely, 2^{102606893283400} is an apocalyptic number.

102606893283400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102606893283400 is an abundant number, since it is smaller than the sum of its proper divisors (157668064437080).

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

102606893283400 is a wasteful number, since it uses less digits than its factorization.

102606893283400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760735 (or 4760726 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 102606893283400 in words is "one hundred two trillion, six hundred six billion, eight hundred ninety-three million, two hundred eighty-three thousand, four hundred".