102951324 has 72 divisors (see below), whose sum is σ = 308450688. Its totient is φ = 29412720.

The previous prime is 102951319. The next prime is 102951361. The reversal of 102951324 is 423159201.

It is a super-2 number, since 2×102951324² = 21197950226705952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 762 + ... + 14369.

Almost surely, 2^102951324 is an apocalyptic number.

102951324 is a gapful number since it is divisible by the number (14) 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 102951324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154225344).

102951324 is an abundant number, since it is smaller than the sum of its proper divisors (205499364).

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

102951324 is a wasteful number, since it uses less digits than its factorization.

102951324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15157 (or 15143 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 102951324 is about 10146.4931873037. The cubic root of 102951324 is about 468.6809613523.

The spelling of 102951324 in words is "one hundred two million, nine hundred fifty-one thousand, three hundred twenty-four".