101960000 has 70 divisors (see below), whose sum is σ = 252926850. Its totient is φ = 40768000.

The previous prime is 101959987. The next prime is 101960021. The reversal of 101960000 is 69101.

It can be written as a sum of positive squares in 5 ways, for example, as 17172736 + 84787264 = 4144^2 + 9208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38726 + ... + 41274.

Almost surely, 2^101960000 is an apocalyptic number.

101960000 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 101960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126463425).

101960000 is an abundant number, since it is smaller than the sum of its proper divisors (150966850).

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

101960000 is an frugal number, since it uses more digits than its factorization.

101960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 101960000 is about 10097.5244490915. The cubic root of 101960000 is about 467.1717886574.

The spelling of 101960000 in words is "one hundred one million, nine hundred sixty thousand".