106145640000 has 525 divisors, whose sum is σ = 395369598261. Its totient is φ = 28149120000.

The previous prime is 106145639987. The next prime is 106145640019. The reversal of 106145640000 is 46541601.

The square root of 106145640000 is 325800.

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

106145640000 is a `hidden beast` number, since 1 + 0 + 6 + 14 + 5 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 102794619456 + 3351020544 = 320616^2 + 57888^2 .

It is a super-2 number, since 2×106145640000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 586439910 + ... + 586440090.

Almost surely, 2^106145640000 is an apocalyptic number.

106145640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106145640000 is the 325800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106145640000

106145640000 is an abundant number, since it is smaller than the sum of its proper divisors (289223958261).

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

106145640000 is an frugal number, since it uses more digits than its factorization.

106145640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 106145640000 in words is "one hundred six billion, one hundred forty-five million, six hundred forty thousand".