102953970 has 256 divisors, whose sum is σ = 342835200. Its totient is φ = 21461760.

The previous prime is 102953969. The next prime is 102954001. The reversal of 102953970 is 79359201.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1687740 + ... + 1687800.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^102953970 is an apocalyptic number.

102953970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102953970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

102953970 is an abundant number, since it is smaller than the sum of its proper divisors (239881230).

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

102953970 is a wasteful number, since it uses less digits than its factorization.

102953970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 102953970 is about 10146.6235763430. The cubic root of 102953970 is about 468.6849765806.

The spelling of 102953970 in words is "one hundred two million, nine hundred fifty-three thousand, nine hundred seventy".