106484742400 has 81 divisors (see below), whose sum is σ = 263631006961. Its totient is φ = 42583454720.

The previous prime is 106484742379. The next prime is 106484742457. The reversal of 106484742400 is 4247484601.

The square root of 106484742400 is 326320.

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., 38334507264 + 68150235136 = 195792^2 + 261056^2 .

It is a super-2 number, since 2×106484742400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26103561 + ... + 26107639.

Almost surely, 2^106484742400 is an apocalyptic number.

106484742400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106484742400 is the 326320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106484742400

106484742400 is an abundant number, since it is smaller than the sum of its proper divisors (157146264561).

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

106484742400 is an frugal number, since it uses more digits than its factorization.

106484742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8184 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 106484742400 in words is "one hundred six billion, four hundred eighty-four million, seven hundred forty-two thousand, four hundred".