102998952 has 192 divisors, whose sum is σ = 342825600. Its totient is φ = 28413504.

The previous prime is 102998947. The next prime is 102998983. The reversal of 102998952 is 259899201.

It is a super-2 number, since 2×102998952² = 21217568226196608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102998898 and 102998907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3551674 + ... + 3551702.

It is an arithmetic number, because the mean of its divisors is an integer number (1785550).

Almost surely, 2^102998952 is an apocalyptic number.

102998952 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 102998952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171412800).

102998952 is an abundant number, since it is smaller than the sum of its proper divisors (239826648).

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

102998952 is an frugal number, since it uses more digits than its factorization.

102998952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 102998952 is about 10148.8399337067. The cubic root of 102998952 is about 468.7532249378.

The spelling of 102998952 in words is "one hundred two million, nine hundred ninety-eight thousand, nine hundred fifty-two".