100761546240 has 320 divisors, whose sum is σ = 358542676800. Its totient is φ = 26822541312.

The previous prime is 100761546227. The next prime is 100761546251. The reversal of 100761546240 is 42645167001.

100761546240 is a `hidden beast` number, since 1 + 0 + 0 + 76 + 1 + 546 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100761546195 and 100761546204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58958506 + ... + 58960214.

It is an arithmetic number, because the mean of its divisors is an integer number (1120445865).

Almost surely, 2^100761546240 is an apocalyptic number.

100761546240 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 100761546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179271338400).

100761546240 is an abundant number, since it is smaller than the sum of its proper divisors (257781130560).

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

100761546240 is an equidigital number, since it uses as much as digits as its factorization.

100761546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 100761546240 in words is "one hundred billion, seven hundred sixty-one million, five hundred forty-six thousand, two hundred forty".