106290450195076 has 27 divisors (see below), whose sum is σ = 216377281724709. Its totient is φ = 45552988225248.

The previous prime is 106290450195073. The next prime is 106290450195079. The reversal of 106290450195076 is 670591054092601.

The square root of 106290450195076 is 10309726.

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

It is an interprime number because it is at equal distance from previous prime (106290450195073) and next prime (106290450195079).

It can be written as a sum of positive squares in only one way, i.e., 72547363340676 + 33743086854400 = 8517474^2 + 5808880^2 .

It is a super-2 number, since 2×106290450195076² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106290450195073) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143967960 + ... + 144704368.

Almost surely, 2^{106290450195076} is an apocalyptic number.

106290450195076 is the 10309726-th square number.

It is an amenable number.

106290450195076 is an abundant number, since it is smaller than the sum of its proper divisors (110086831529633).

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

106290450195076 is an frugal number, since it uses more digits than its factorization.

106290450195076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472836 (or 736418 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 106290450195076 in words is "one hundred six trillion, two hundred ninety billion, four hundred fifty million, one hundred ninety-five thousand, seventy-six".