101034960 has 240 divisors, whose sum is σ = 352905984. Its totient is φ = 23881728.

The previous prime is 101034953. The next prime is 101034979. The reversal of 101034960 is 69430101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101034960.

It is a congruent number.

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, 1906294 + ... + 1906346.

Almost surely, 2^101034960 is an apocalyptic number.

101034960 is a gapful number since it is divisible by the number (10) 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 101034960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176452992).

101034960 is an abundant number, since it is smaller than the sum of its proper divisors (251871024).

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

101034960 is a wasteful number, since it uses less digits than its factorization.

101034960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 101034960 is about 10051.6147956435. The cubic root of 101034960 is about 465.7546769425.

The spelling of 101034960 in words is "one hundred one million, thirty-four thousand, nine hundred sixty".