102240754051584 has 160 divisors (see below), whose sum is σ = 278832357872640. Its totient is φ = 33273083031552.

The previous prime is 102240754051577. The next prime is 102240754051591. The reversal of 102240754051584 is 485150457042201.

It is an interprime number because it is at equal distance from previous prime (102240754051577) and next prime (102240754051591).

It is a super-2 number, since 2×102240754051584² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150713347 + ... + 151390205.

It is an arithmetic number, because the mean of its divisors is an integer number (1742702236704).

Almost surely, 2^{102240754051584} 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 102240754051584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139416178936320).

102240754051584 is an abundant number, since it is smaller than the sum of its proper divisors (176591603821056).

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

102240754051584 is an equidigital number, since it uses as much as digits as its factorization.

102240754051584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679210 (or 679194 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 48.

The spelling of 102240754051584 in words is "one hundred two trillion, two hundred forty billion, seven hundred fifty-four million, fifty-one thousand, five hundred eighty-four".