106386748104 has 512 divisors, whose sum is σ = 350945280000. Its totient is φ = 26126115840.

The previous prime is 106386748099. The next prime is 106386748123. The reversal of 106386748104 is 401847683601.

It is a super-2 number, since 2×106386748104² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213199647 + ... + 213200145.

It is an arithmetic number, because the mean of its divisors is an integer number (685440000).

Almost surely, 2^106386748104 is an apocalyptic number.

106386748104 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 106386748104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175472640000).

106386748104 is an abundant number, since it is smaller than the sum of its proper divisors (244558531896).

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

106386748104 is a wasteful number, since it uses less digits than its factorization.

106386748104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 106386748104 in words is "one hundred six billion, three hundred eighty-six million, seven hundred forty-eight thousand, one hundred four".