106733303424 has 320 divisors, whose sum is σ = 349288473600. Its totient is φ = 32084398080.

The previous prime is 106733303401. The next prime is 106733303441. The reversal of 106733303424 is 424303337601.

It is a super-2 number, since 2×106733303424² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14480412 + ... + 14487780.

It is an arithmetic number, because the mean of its divisors is an integer number (1091526480).

Almost surely, 2^106733303424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106733303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174644236800).

106733303424 is an abundant number, since it is smaller than the sum of its proper divisors (242555170176).

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

106733303424 is a wasteful number, since it uses less digits than its factorization.

106733303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7533 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 106733303424 in words is "one hundred six billion, seven hundred thirty-three million, three hundred three thousand, four hundred twenty-four".