10100493691740 has 288 divisors, whose sum is σ = 30991882521600. Its totient is φ = 2662594744320.

The previous prime is 10100493691703. The next prime is 10100493691763. The reversal of 10100493691740 is 4719639400101.

It is a happy number.

10100493691740 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 493 + 6 + 91 + 74 + 0 = 666.

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

It is a congruent number.

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, 5347004716 + ... + 5347006604.

It is an arithmetic number, because the mean of its divisors is an integer number (107610703200).

Almost surely, 2^{10100493691740} is an apocalyptic number.

10100493691740 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 10100493691740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15495941260800).

10100493691740 is an abundant number, since it is smaller than the sum of its proper divisors (20891388829860).

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

10100493691740 is a wasteful number, since it uses less digits than its factorization.

10100493691740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10100493691740 in words is "ten trillion, one hundred billion, four hundred ninety-three million, six hundred ninety-one thousand, seven hundred forty".