100098251 has 16 divisors (see below), whose sum is σ = 115324800. Its totient is φ = 85924800.

The previous prime is 100098239. The next prime is 100098263. The reversal of 100098251 is 152890001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100098239) and next prime (100098263).

It is a cyclic number.

It is not a de Polignac number, because 100098251 - 2¹⁴ = 100081867 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100098251.

It is not an unprimeable number, because it can be changed into a prime (100098221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84896 + ... + 86066.

It is an arithmetic number, because the mean of its divisors is an integer number (7207800).

Almost surely, 2^100098251 is an apocalyptic number.

100098251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100098251 is a deficient number, since it is larger than the sum of its proper divisors (15226549).

100098251 is a wasteful number, since it uses less digits than its factorization.

100098251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610.

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 100098251 is about 10004.9113439350. The cubic root of 100098251 is about 464.3108471850.

The spelling of 100098251 in words is "one hundred million, ninety-eight thousand, two hundred fifty-one".