101407950 has 240 divisors, whose sum is σ = 333088800. Its totient is φ = 22861440.

The previous prime is 101407949. The next prime is 101407963. The reversal of 101407950 is 59704101.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 119 ways as a sum of consecutive naturals, for example, 1389114 + ... + 1389186.

It is an arithmetic number, because the mean of its divisors is an integer number (1387870).

Almost surely, 2^101407950 is an apocalyptic number.

101407950 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 101407950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166544400).

101407950 is an abundant number, since it is smaller than the sum of its proper divisors (231680850).

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

101407950 is an equidigital number, since it uses as much as digits as its factorization.

101407950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 101407950 is about 10070.1514387818. The cubic root of 101407950 is about 466.3271141083.

The spelling of 101407950 in words is "one hundred one million, four hundred seven thousand, nine hundred fifty".