102034778544 has 120 divisors (see below), whose sum is σ = 296281370112. Its totient is φ = 33994416960.

The previous prime is 102034778543. The next prime is 102034778563. The reversal of 102034778544 is 445877430201.

102034778544 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 34 + 7 + 78 + 544 = 666.

It is a super-2 number, since 2×102034778544² (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 102034778544.

It is not an unprimeable number, because it can be changed into a prime (102034778543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9415209 + ... + 9426039.

Almost surely, 2^102034778544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102034778544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148140685056).

102034778544 is an abundant number, since it is smaller than the sum of its proper divisors (194246591568).

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

102034778544 is a wasteful number, since it uses less digits than its factorization.

102034778544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13277 (or 13259 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 102034778544 in words is "one hundred two billion, thirty-four million, seven hundred seventy-eight thousand, five hundred forty-four".