106748657904 has 320 divisors, whose sum is σ = 344309391360. Its totient is φ = 27819832320.

The previous prime is 106748657891. The next prime is 106748657909. The reversal of 106748657904 is 409756847601.

It is a super-2 number, since 2×106748657904² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106748657909) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19487614 + ... + 19493090.

It is an arithmetic number, because the mean of its divisors is an integer number (1075966848).

Almost surely, 2^106748657904 is an apocalyptic number.

106748657904 is a gapful number since it is divisible by the number (14) 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 106748657904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172154695680).

106748657904 is an abundant number, since it is smaller than the sum of its proper divisors (237560733456).

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

106748657904 is a wasteful number, since it uses less digits than its factorization.

106748657904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5628 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 106748657904 in words is "one hundred six billion, seven hundred forty-eight million, six hundred fifty-seven thousand, nine hundred four".