107261061936 has 480 divisors, whose sum is σ = 350185586688. Its totient is φ = 28124490240.

The previous prime is 107261061911. The next prime is 107261061997. The reversal of 107261061936 is 639160162701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280054801 + ... + 280055183.

Almost surely, 2^107261061936 is an apocalyptic number.

107261061936 is a gapful number since it is divisible by the number (16) 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 107261061936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175092793344).

107261061936 is an abundant number, since it is smaller than the sum of its proper divisors (242924524752).

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

107261061936 is a wasteful number, since it uses less digits than its factorization.

107261061936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 107261061936 in words is "one hundred seven billion, two hundred sixty-one million, sixty-one thousand, nine hundred thirty-six".