106424707984 has 135 divisors (see below), whose sum is σ = 245142905553. Its totient is φ = 44627990400.

The previous prime is 106424707967. The next prime is 106424708003. The reversal of 106424707984 is 489707424601.

The square root of 106424707984 is 326228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3460733584 + 102963974400 = 58828^2 + 320880^2 .

It is a super-2 number, since 2×106424707984² (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 26 ways as a sum of consecutive naturals, for example, 557197329 + ... + 557197519.

Almost surely, 2^106424707984 is an apocalyptic number.

106424707984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106424707984 is the 326228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106424707984

106424707984 is an abundant number, since it is smaller than the sum of its proper divisors (138718197569).

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

106424707984 is an frugal number, since it uses more digits than its factorization.

106424707984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 106424707984 in words is "one hundred six billion, four hundred twenty-four million, seven hundred seven thousand, nine hundred eighty-four".