102774672 has 480 divisors, whose sum is σ = 415973376. Its totient is φ = 22809600.

The previous prime is 102774653. The next prime is 102774689. The reversal of 102774672 is 276477201.

It is a happy number.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3315297 + ... + 3315327.

Almost surely, 2^102774672 is an apocalyptic number.

102774672 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 102774672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207986688).

102774672 is an abundant number, since it is smaller than the sum of its proper divisors (313198704).

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

102774672 is a wasteful number, since it uses less digits than its factorization.

102774672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 102774672 is about 10137.7843733234. The cubic root of 102774672 is about 468.4127412989.

The spelling of 102774672 in words is "one hundred two million, seven hundred seventy-four thousand, six hundred seventy-two".