102967689440 has 144 divisors (see below), whose sum is σ = 305584677216. Its totient is φ = 32093783040.

The previous prime is 102967689431. The next prime is 102967689457. The reversal of 102967689440 is 44986769201.

It is a super-2 number, since 2×102967689440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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, 244379 + ... + 515418.

It is an arithmetic number, because the mean of its divisors is an integer number (2122115814).

Almost surely, 2^102967689440 is an apocalyptic number.

102967689440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102967689440 is an abundant number, since it is smaller than the sum of its proper divisors (202616987776).

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

102967689440 is a wasteful number, since it uses less digits than its factorization.

102967689440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759841 (or 759822 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 102967689440 in words is "one hundred two billion, nine hundred sixty-seven million, six hundred eighty-nine thousand, four hundred forty".