1078102872 has 640 divisors, whose sum is σ = 4215214080. Its totient is φ = 248832000.

The previous prime is 1078102849. The next prime is 1078102877. The reversal of 1078102872 is 2782018701.

It is a happy number.

It is a super-2 number, since 2×1078102872² = 2324611605229296768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1078102877) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26295172 + ... + 26295212.

It is an arithmetic number, because the mean of its divisors is an integer number (6586272).

Almost surely, 2^1078102872 is an apocalyptic number.

1078102872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1078102872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107607040).

1078102872 is an abundant number, since it is smaller than the sum of its proper divisors (3137111208).

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

1078102872 is a wasteful number, since it uses less digits than its factorization.

1078102872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 1078102872 is about 32834.4768802550. The cubic root of 1078102872 is about 1025.3844671543.

The spelling of 1078102872 in words is "one billion, seventy-eight million, one hundred two thousand, eight hundred seventy-two".