100961952390 has 256 divisors, whose sum is σ = 295877836800. Its totient is φ = 24348708864.

The previous prime is 100961952361. The next prime is 100961952397. The reversal of 100961952390 is 93259169001.

It is a happy number.

100961952390 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 619 + 5 + 23 + 9 + 0 = 666.

100961952390 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100961952397) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35066971 + ... + 35069849.

It is an arithmetic number, because the mean of its divisors is an integer number (1155772800).

Almost surely, 2^100961952390 is an apocalyptic number.

100961952390 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 100961952390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147938918400).

100961952390 is an abundant number, since it is smaller than the sum of its proper divisors (194915884410).

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

100961952390 is a wasteful number, since it uses less digits than its factorization.

100961952390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 100961952390 in words is "one hundred billion, nine hundred sixty-one million, nine hundred fifty-two thousand, three hundred ninety".