100906757952 has 336 divisors, whose sum is σ = 360444483072. Its totient is φ = 24192829440.

The previous prime is 100906757899. The next prime is 100906757971. The reversal of 100906757952 is 259757609001.

100906757952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 100906757895 and 100906757904.

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, 2478303 + ... + 2518689.

Almost surely, 2^100906757952 is an apocalyptic number.

100906757952 is a gapful number since it is divisible by the number (12) 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 100906757952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180222241536).

100906757952 is an abundant number, since it is smaller than the sum of its proper divisors (259537725120).

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

100906757952 is a wasteful number, since it uses less digits than its factorization.

100906757952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40446 (or 40423 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 51.

It can be divided in two parts, 100906 and 757952, that added together give a palindrome (858858).

The spelling of 100906757952 in words is "one hundred billion, nine hundred six million, seven hundred fifty-seven thousand, nine hundred fifty-two".