102970224 has 160 divisors (see below), whose sum is σ = 357834240. Its totient is φ = 27675648.

The previous prime is 102970199. The next prime is 102970243. The reversal of 102970224 is 422079201.

It is a super-2 number, since 2×102970224² = 21205734061220352, 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50407 + ... + 52409.

It is an arithmetic number, because the mean of its divisors is an integer number (2236464).

Almost surely, 2^102970224 is an apocalyptic number.

102970224 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 102970224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178917120).

102970224 is an abundant number, since it is smaller than the sum of its proper divisors (254864016).

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

102970224 is a wasteful number, since it uses less digits than its factorization.

102970224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102970224 is about 10147.4245008278. The cubic root of 102970224 is about 468.7096400451.

It can be divided in two parts, 1029 and 70224, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 102970224 in words is "one hundred two million, nine hundred seventy thousand, two hundred twenty-four".