102953620 has 48 divisors (see below), whose sum is σ = 269555328. Its totient is φ = 32088960.

The previous prime is 102953611. The next prime is 102953629. The reversal of 102953620 is 26359201.

It is an interprime number because it is at equal distance from previous prime (102953611) and next prime (102953629).

It is a super-2 number, since 2×102953620² = 21198895742208800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102953629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31887 + ... + 34966.

It is an arithmetic number, because the mean of its divisors is an integer number (5615736).

Almost surely, 2^102953620 is an apocalyptic number.

102953620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102953620 is an abundant number, since it is smaller than the sum of its proper divisors (166601708).

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

102953620 is a wasteful number, since it uses less digits than its factorization.

102953620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66880 (or 66878 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 102953620 is about 10146.6063292118. The cubic root of 102953620 is about 468.6844454697.

The spelling of 102953620 in words is "one hundred two million, nine hundred fifty-three thousand, six hundred twenty".