100261355040 has 1536 divisors, whose sum is σ = 459005460480. Its totient is φ = 20005539840.

The previous prime is 100261355011. The next prime is 100261355057. The reversal of 100261355040 is 40553162001.

100261355040 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 613 + 5 + 5 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100261354995 and 100261355013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1891723654 + ... + 1891723706.

It is an arithmetic number, because the mean of its divisors is an integer number (298831680).

Almost surely, 2^100261355040 is an apocalyptic number.

100261355040 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 100261355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229502730240).

100261355040 is an abundant number, since it is smaller than the sum of its proper divisors (358744105440).

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

100261355040 is a wasteful number, since it uses less digits than its factorization.

100261355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 100261355040 in words is "one hundred billion, two hundred sixty-one million, three hundred fifty-five thousand, forty".