102978252 has 144 divisors (see below), whose sum is σ = 304027360. Its totient is φ = 29113344.

The previous prime is 102978209. The next prime is 102978257. The reversal of 102978252 is 252879201.

It is a super-3 number, since 3×102978252³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (102978257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328848 + ... + 329160.

Almost surely, 2^102978252 is an apocalyptic number.

102978252 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 102978252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152013680).

102978252 is an abundant number, since it is smaller than the sum of its proper divisors (201049108).

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

102978252 is a wasteful number, since it uses less digits than its factorization.

102978252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 102978252 is about 10147.8200614713. The cubic root of 102978252 is about 468.7218205993.

The spelling of 102978252 in words is "one hundred two million, nine hundred seventy-eight thousand, two hundred fifty-two".